Register

The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?

The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?
16.3k views
2 votes
The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?

User Frank Ibem
by
8.1k points

2 Answers

5 votes

Answer:

y = 1/3x - 2

Explanation:

User Jujhar Singh
by
7.2k points
4 votes

\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 0}}\quad ,&{{ -2}})\quad % (c,d) &({{ 6}}\quad ,&{{ 0}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-(-2)}{6-0}\implies \cfrac{0+2}{6-0} \\\\\\ \cfrac{2}{6}\implies \cfrac{1}{3}


\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-2)=\cfrac{1}{3}(x-0) \\\\\\ y+2=\cfrac{1}{3}x\implies y=\cfrac{1}{3}x-2
User Myk
by
8.7k points
← Prev Question Next Question →

No related questions found

Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
Link Copied!